Edmund Burke's criticism of Rousseau vanity and the counter argument

Edmund Burke formed an unfavorable impression of Rousseau when the latter visited England with Hume and later drew a connection between Rousseau's egoistic philosophy and his personal vanity, saying Rousseau "entertained no principle... but vanity. With this vice he was possessed to a degree little short of madnessHowever there are other views on Rousseau

The book Rousseau and Revolution, by Will and Ariel Durant, begins with the following words about Rousseau:

How did it come about that a man born poor, losing his mother at birth and soon deserted by his father, afflicted with a painful and humiliating disease, left to wander for twelve years among alien cities and conflicting faiths, repudiated by society and civilization, repudiating Voltaire, Diderot, the Encyclopédie and the Age of Reason, driven from place to place as a dangerous rebel, suspected of crime and insanity, and seeing, in his last months, the apotheosis of his greatest enemy--how did it come about that this man, after his death, triumphed over Voltaire, revived religion, transformed education, elevated the morals of France, inspired the Romantic movementand the French Revolution, influenced the philosophy of Kant and Schopenhauer, the plays of Schiller, the novels of Goethe, the poems of Wordsworth, Byron, and Shelley, the socialism of Marx, the ethics of Tolstoy, and, altogether, had more effect upon posterity than any other writer or thinker of that eighteenth century in which writers were more influential than they had ever been before?